Neumann functions for second order elliptic systems with measurable coefficients

DOI10.1090/S0002-9947-2013-05886-2zbMath1279.35039arXiv1112.2436OpenAlexW2060969350MaRDI QIDQ2855929

Seick Kim, Jongkeun Choi

Publication date: 23 October 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2436

zbMATH Keywords

Green's functionmeasurable coefficientsNeumann functionsecond-order elliptic systemNeumann boundary problem

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47) Green's functions for elliptic equations (35J08) Boundary value problems for second-order elliptic systems (35J57)

Related Items (14)

Neumann-transmission problems for pseudodifferential Brinkman operators on Lipschitz domains in compact Riemannian manifolds ⋮ Conormal derivative problems for stationary Stokes system in Sobolev spaces ⋮ The Green function for the Stokes system with measurable coefficients ⋮ L^p resolvent estimates for variable coefficient elliptic systems on Lipschitz domains ⋮ On an inverse boundary problem arising in brain imaging ⋮ Sharp estimates for the Neumann functions and applications to quantitative photo-acoustic imaging in inhomogeneous media ⋮ Unnamed Item ⋮ \(L^p\) resolvent estimates for constant coefficient elliptic systems on Lipschitz domains ⋮ Optimal Morrey estimate for parabolic equations in divergence form via Green's functions ⋮ Green functions of conormal derivative problems for stationary Stokes system ⋮ Fundamental solutions for stationary Stokes systems with measurable coefficients ⋮ Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions ⋮ Indicator Functions for Shape Reconstruction Related to the Linear Sampling Method ⋮ Unnamed Item

Cites Work

• Weighted maximal regularity estimates and solvability of non-smooth elliptic systems. I
• Global pointwise estimates for Green's matrix of second order elliptic systems
• Analyticity of layer potentials and \(L^{2}\) solvability of boundary value problems for divergence form elliptic equations with complex \(L^{\infty }\) coefficients
• Global estimates for Green's matrix of second order parabolic systems with application to elliptic systems in two dimensional domains
• Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems
• \(L^p\) regularity theory for linear elliptic systems
• The Green function for uniformly elliptic equations
• Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
• The Neumann problem for elliptic equations with non-smooth coefficients
• The Green function estimates for strongly elliptic systems of second order
• The Green Function for Elliptic Systems in Two Dimensions
• Green’s matrices of second order elliptic systems with measurable coefficients in two dimensional domains
• Weighted estimates in 𝐿² for Laplace’s equation on Lipschitz domains
• Homogenization of elliptic systems with Neumann boundary conditions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Neumann functions for second order elliptic systems with measurable coefficients